The correct answer is option 2, household electrification. The Saubhagya Scheme is a government initiative in India that aims to achieve the goal of universal household electrification. Under this scheme, the government provides electricity connections to all households in both rural and urban areas. The scheme is particularly targeted towards households that do not have access to electricity or are using unsafe and hazardous sources of energy for their lighting and cooking needs.

Option 1, LPG connection, is not the aim of the Saubhagya Scheme. LPG connection falls under a separate government scheme called the Pradhan Mantri Ujjwala Yojana, which aims to provide free LPG connections to women from below the poverty line.

Option 3, primary school education, and option 4, public health insurance, are unrelated to the Saubhagya Scheme and fall under different government initiatives in India.

In conclusion, the Saubhagya Scheme is specifically focused on providing electricity connections to all households in India, aiming for universal household electrification.